The ratio of wavelengths of first line of Lyman series in Li+2 and first line of Lyman series in deuterium (H2) is ?
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The ratio of wavelengths of first line of Lyman series in Li⁺² and first line of Lyman series in deuterium H² is 1/9.
We know that for the first line of Lyman series means
n₁ = 1 and
n₂ = 2
Wavelength of the lines can be given by -
1/λ = R Z² [1/n₁² - 1/n₂²] where λ is the wavelength, R is constant, Z is atomic number.
For both the atoms line transition is same, so n₁ and n₂ will be constant.
Which means-
λ ∝ 1/Z²
Z for lithium is 3 and for deuterium is 1. So by putting the values
λ Li²⁺ / λ H₂ = 1 / (3)² = 1/9
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